The University of Oregon Police Department earlier said four athletes and their coach from the northeast African country absconded after participating in the World Championships held between July 15 and 24 in Eugene.
There had been speculations of a probable deflection or abduction.
The Eritrean National Athletics Federation announced late Thursday that the athletes are no longer in danger and will be "resuming activities with their team."
They have been identified as Filmon Ande, 24, Yemane Haileselassie Teklehaimanot, 24, Habtom Samuel Keleta, 18, Merhawi Mebrahtu Teweldebererhan, 18, and Berhe Asgedom Nigusse, 44.